What three numbers have an average of 910?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 910. This means if we add these three numbers together and divide by 3, we should get 910.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 910 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 910 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2730

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2730.

Solution 1:

910, 910, 910

Verification:

(910 + 910 + 910) / 3 = 2730 / 3 ≈ 910

This solution is correct!

Solution 2:

910, 910, 910

Verification:

(910 + 910 + 910) / 3 = 2730 / 3 ≈ 910

This solution is correct!

Solution 3:

2059, 208, 463

Verification:

(2059 + 208 + 463) / 3 = 2730 / 3 ≈ 910

This solution is correct!

Solution 4:

2295, 203, 232

Verification:

(2295 + 203 + 232) / 3 = 2730 / 3 ≈ 910

This solution is correct!

Solution 5:

375, 2100, 255

Verification:

(375 + 2100 + 255) / 3 = 2730 / 3 ≈ 910

This solution is correct!

Explanation:

As you can see, there are many possible solutions. We can find more by:

Remember:

Try it out:

(X+Y+Z) / 3 = 975What three numbers have an average of 975 ?
(X+Y+Z) / 3 = 248What three numbers have an average of 248 ?
(X+Y+Z) / 3 = 65What three numbers have an average of 65 ?

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